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Finding the Fourth Proportional to 521,998.08, 720,313.38 and 289,431.24

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Solution

The fourth proportional to 521,998.08, 720,313.38 and 289,431.24 is: 399,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,998.08 : 720,313.38 = 289,431.24 : x
  2. Step 2: Convert to fraction form
    521,998.08/720,313.38 = 289,431.24/x
  3. Step 3: Cross multiply
    521,998.08x = 720,313.38 × 289,431.24
  4. Step 4: Simplify right side
    521,998.08x = 208,481,194,761.99
  5. Step 5: Solve for x
    x = 208,481,194,761.99/521,998.08
  6. Step 6: Final answer
    x = 399,390.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.